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Zubov's method for interconnected systems : a dissipative formulation

Title data

Li, Huijuan ; Wirth, Fabian:
Zubov's method for interconnected systems : a dissipative formulation.
In: Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia. - Melbourne, Australia : Think Business Events , 2012
ISBN 978-0-646-58062-3

This is the latest version of this item.

Official URL: Volltext

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Project information

Project title:
Project's official title
Project's id
Marie-Curie Initial Training Network "Sensitivity Analysis for Deterministic Controller Design" (SADCO)
264735-SADCO
Project financing: 7. Forschungsrahmenprogramm für Forschung, technologische Entwicklung und Demonstration der Europäischen Union

Abstract in another language

We study the domain of attraction of an asymptotically stable fixed point of the feedback interconnections of two nonlinear systems. For each subsystem we introduce an auxiliary system and assume that it is uniformly locally asymptotically stable at the origin. It is then shown that each subsystem is integral input-to state stable (iISS) regarding the state of the other subsystem as input. If the interconnection of the two subsystems satisfies a small gain condition, an estimate for the domain of attraction of the whole system may be obtained by constructing a nonsmooth Lyapunov function.

Further data

Item Type: Article in a book
Refereed: Yes
Additional notes: Paper No. 184, full paper.

Contents:
1. Introduction
1.1. Preliminaries
1.2. The auxiliary system
2. Main results
2.1. The domain of attraction of the auxiliary system
2.2. Coupled Systems
Conclusions
Keywords: nonlinear systems; input-to state stability (ISS); integral input-to state stability (iISS); ISS Lyapunov function; small gain condition; Zubov’s method
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: No
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 27 Mar 2015 09:51
Last Modified: 27 Mar 2015 09:51
URI: https://eref.uni-bayreuth.de/id/eprint/9433

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